301669 ÷ 88 
Our goal is to divide 301669 by 88.

Advancing to step 1:
The number 88 fits into 3 0 times, leaving a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Include the next digit (0) from the dividend after 3, then repeat: 30 / 88

Step 2:
When dividing 30 by 88, we get 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 30 and we're left with 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 88

Moving on to step 3:
301 divided by 88 is 3 with a remainder of 37.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 264 from 301 leaves us with 37.
Grab the next digit (6) from the dividend, add it to 37, then carry on: 376 / 88

Step 4:
88 goes into 376 4 times with a remainder of 24.
The next digit of our result is 4. 
Result so far: 34.0
The remainder is 24 after subtracting 352 from 376.
Grab the next digit (6) from the dividend, add it to 24, then carry on: 246 / 88

Going ahead to step 5:
246 divided by 88 is 2 with a remainder of 70.
Record the quotient 2 as the next digit in the result. 
Result so far: 342.0
If we take 176 away from 246, we end up with 70.
Append the next digit (9) from the dividend to 70 and continue with: 709 / 88

Advancing to step 6:
88 goes into 709 8 times with a remainder of 5.
Write down 8 as next digit of the result. 
Result so far: 3428.0
Subtract 704 from 709 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
When dividing 50 by 88, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 3428.0
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 8:
500 divided by 88 is 5 with a remainder of 60.
Record the quotient 5 as the next digit in the result. 
Result so far: 3428.05
Subtract 440 from 500 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 9:
When dividing 600 by 88, we get 6 with a remainder of 72.
Use 6 as the next digit of our solution. 
Result so far: 3428.056
The remainder is 72 after subtracting 528 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 10:
88 goes into 720 8 times with a remainder of 16.
The number 8 becomes the next digit in our result. 
Result so far: 3428.0568
If we take 704 away from 720, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
160 divided by 88 is 1 with a remainder of 72.
Record the quotient 1 as the next digit in the result. 
Result so far: 3428.05681
Subtract 88 from 160 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 12:
The number 88 fits into 720 8 times, leaving a remainder of 16.
The next digit of our result is 8. 
Result so far: 3428.056818
Subtracting 704 from 720 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 13:
When dividing 160 by 88, we get 1 with a remainder of 72.
The number 1 becomes the next digit in our result. 
Result so far: 3428.0568181
Subtracting 88 from 160 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 14:
88 can be fit into 720 8 times, resulting in a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 3428.05681818
Subtract 704 from 720 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 3428.05681818 with a remaining 1.6e-08.